In earlier work we have formulated a collusion problem that determines whether it is possible for a set of colluders to collectively discover a target set of information, starting from their initial knowledge, and have presented a complete solution for a special case of the problem. In this paper we present an algorithm that solves the general case. Given a collusion problem the algorithm determines whether it has a solution, and if it does, computes one. A solution to the collusion problem is a method with which the colluders can uncover the hidden information. Communications protocols that employ cryptographic techniques are increasingly used to protect privacy as well as to communicate. A cryptographic protocol defines a process by which information is transferred among some users while hidden from others. The algorithm presented can be used to determine whether a subset of protocol users can discover, during or after the protocol's execution, the information that is designed to be hidden from them.